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**sheldon69****Member**- Registered: 2011-10-28
- Posts: 2

Hi, another question from my textbook I can't seem to get.

Q: Let G be the group of matrices of the form

where and . Determine the conjugacy classes in G, and sketch them in the (x,y)-plane.Thanks for any help.

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**scientia****Member**- Registered: 2009-11-13
- Posts: 224

The inverse of the matrix is . Let's calculate the conjugate of the matrix by the matrix :

Hence the conjugacy class containing

is .*Last edited by scientia (2012-10-14 21:10:03)*

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

scientia wrote:

This step doesn't look right.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,678

Hi all;

anonimnystefy wrote:

This step doesn't look right.

You are correct.

Hi scientia;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**scientia****Member**- Registered: 2009-11-13
- Posts: 224

Thanks for pointing out.

I've corrected the error in my post.

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